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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 13 · 40 sums
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The trick (Nikhilam Navatashcaramam Dashatah): Write the complement of the divisor (8 → 2, 97 → 03, 88 → 12, 997 → 003, 897 → 103). Split off as many last digits as the base has zeros (1 for 8, 2 for 88, 3 for 997) — that is the remainder part. Bring down each column total, multiply it by the complement, and add the result under the next column(s). If the remainder is not smaller than the divisor, divide it again and add to the quotient.

NameDateTime takenScore ___ / 40
  1. 1.140325 ÷ 897 =
  2. 2.695089 ÷ 988 =
  3. 3.86602 ÷ 97 =
  4. 4.779124 ÷ 988 =
  5. 5.42821 ÷ 988 =
  6. 6.488388 ÷ 997 =
  7. 7.3481 ÷ 8 =
  8. 8.5496 ÷ 8 =
  9. 9.57268 ÷ 97 =
  10. 10.665805 ÷ 988 =
  11. 11.8990 ÷ 8 =
  12. 12.2905 ÷ 8 =
  13. 13.840723 ÷ 897 =
  14. 14.793200 ÷ 989 =
  15. 15.48443 ÷ 98 =
  16. 16.30182 ÷ 88 =
  17. 17.1872 ÷ 97 =
  18. 18.5405 ÷ 8 =
  19. 19.17270 ÷ 96 =
  20. 20.51972 ÷ 98 =
  21. 21.92092 ÷ 98 =
  22. 22.15755 ÷ 88 =
  23. 23.3368 ÷ 8 =
  24. 24.942199 ÷ 988 =
  25. 25.871966 ÷ 989 =
  26. 26.77064 ÷ 96 =
  27. 27.99458 ÷ 98 =
  28. 28.423700 ÷ 897 =
  29. 29.134088 ÷ 998 =
  30. 30.542106 ÷ 897 =
  31. 31.643104 ÷ 997 =
  32. 32.844921 ÷ 897 =
  33. 33.6732 ÷ 98 =
  34. 34.2911 ÷ 8 =
  35. 35.6022 ÷ 88 =
  36. 36.34313 ÷ 89 =
  37. 37.129408 ÷ 897 =
  38. 38.303140 ÷ 897 =
  39. 39.87742 ÷ 96 =
  40. 40.3446 ÷ 89 =

Answer key

  1. 156 rem 393
  2. 703 rem 525
  3. 892 rem 78
  4. 788 rem 580
  5. 43 rem 337
  6. 489 rem 855
  7. 435 rem 1
  8. 687 rem 0
  9. 590 rem 38
  10. 673 rem 881
  11. 1123 rem 6
  12. 363 rem 1
  13. 937 rem 234
  14. 802 rem 22
  15. 494 rem 31
  16. 342 rem 86
  17. 19 rem 29
  18. 675 rem 5
  19. 179 rem 86
  20. 530 rem 32
  21. 939 rem 70
  22. 179 rem 3
  23. 421 rem 0
  24. 953 rem 635
  25. 881 rem 657
  26. 802 rem 72
  27. 1014 rem 86
  28. 472 rem 316
  29. 134 rem 356
  30. 604 rem 318
  31. 645 rem 39
  32. 941 rem 844
  33. 68 rem 68
  34. 363 rem 7
  35. 68 rem 38
  36. 385 rem 48
  37. 144 rem 240
  38. 337 rem 851
  39. 913 rem 94
  40. 38 rem 64

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